#420.
With 75 examination questions each of which has 5 given answers, how many possible patterns are there?
A
6.75 x 10 4
B
2.65 x 10 52
C
3.56 x 10 45
D
2.37 x 10 38
Answer: 2.65 x 10 52
#421.
What is the number of permutations of the letters in the word BANANA?
A
52
B
60
C
42
D
36
Answer: 60
#422.
4 different colored flags can be hung in a row to make coded signal. How many signals can be made if a signal consists of the display of one or more flags?
A
68
B
64
C
62
D
68
Answer: 64
#423.
Two men started to walk from the same point on the circumference of a circle whose radius is 300 meters; each man walking at the rate of 120 meters per minute. If A walks toward the center of the circle and B along the circumference, what will be the distance of the two men after one minute?
A
151.2 meters
B
154.2 meters
C
150.2 meters
D
149.2 meters
Answer: 151.2 meters
#424.
A lawn is in the form of a 30o right triangle whose long leg is 67 meters. On the long leg and 15 meters from the short leg, is a peg to which a goat is tied such that the farthest its mouth can reach is 30 meters from the peg. Find the area of the lawn of which it can graze.
A
1097 2
B
1057 2
C
1027 2
D
1007 2
Answer: 1057 2
#425.
What is the sum of integers from 250 to 1250?
A
750, 500
B
750, 750
C
781, 875
D
31, 3375
Answer: 750, 750
#426.
During the last election, the total number of votes recorded in a certain municipality was 8, 600. Had one-third of A's supporters stayed away from the polls and one-half of B's behaved likewise, A's majority would have been reduced by 200. How many votes did A and B actually received?
A
A = 5, 400 and B = 3, 200
B
A = 3, 200 and B = 5, 400
C
A = 6, 100 and B = 2, 500
D
A = 2, 500 and B = 6, 100
Answer: A = 5, 400 and B = 3, 200
#427.
Three towns are connected by a triangle of roads, all of different lengths. It is 24 km around the circuit. One of the roads is 11 km long and the longest is 11 km longer than the shortest. What is the length of the shortest of the three roads?
A
1 km
B
12 km
C
6 km
D
3 km
Answer: 1 km
#428.
Three towns are connected by a triangle of roads, all of different lengths. It is 24 km around the circuit. One of the roads is 11 km long and the longest is 11 km longer than the shortest. What is the length of the longest of the three roads?
A
6 km
B
13 km
C
1 km
D
12 km
Answer: 12 km
#429.
If the linear system has no solution, it is said to be _____________.
A
inconsistent
B
consistent
C
trivial
D
nontrivial
Answer: inconsistent
#430.
Two m x n matrices \( A = [a_{ij}]\) and \( B = [b_{ij}]\) are equal if \(\a_{ij}) = \( b_{ij}\), for \(i = 1, 2, 3, ..., m \) and \(j = 1, 2, 3, ..., n\)